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Finding the Fourth Proportional to 955.86, 1,430.28 and 782.10

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Solution

The fourth proportional to 955.86, 1,430.28 and 782.10 is: 1,170.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    955.86 : 1,430.28 = 782.10 : x
  2. Step 2: Convert to fraction form
    955.86/1,430.28 = 782.10/x
  3. Step 3: Cross multiply
    955.86x = 1,430.28 × 782.10
  4. Step 4: Simplify right side
    955.86x = 1,118,621.99
  5. Step 5: Solve for x
    x = 1,118,621.99/955.86
  6. Step 6: Final answer
    x = 1,170.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.